One of the other and most important related technical obstacles
is that in the general CHSP framework
our choice of the “physical” inner product
(i.e., of the invertible antilinear Hermitian-conjugation
correspondence (REF ))
is, given the Hamiltonian, non unique.
An exhaustive discussion of this topic can be found in
the literature [1]}, [2]}, [3]}.
The ambiguity of the inner product is only irrelevant
in \({\cal H}_{math}={\cal R}_{N_{}}\) 
where we may use the conventional
Dirac notation
\({\cal T}_{math}: |\psi \rangle \ \rightarrow \ \langle \psi |\) 
